101121001100120 has 32 divisors (see below), whose sum is σ = 240905914387200. Its totient is φ = 38069082766848.

The previous prime is 101121001100117. The next prime is 101121001100153. The reversal of 101121001100120 is 21001100121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74353676600 + ... + 74353677959.

It is an arithmetic number, because the mean of its divisors is an integer number (7528309824600).

Almost surely, 2^{101121001100120} is an apocalyptic number.

101121001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121001100120 is an abundant number, since it is smaller than the sum of its proper divisors (139784913287080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101121001100120 is a wasteful number, since it uses less digits than its factorization.

101121001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148707354587 (or 148707354583 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121001100120 its reverse (21001100121101), we get a palindrome (122122101221221).

The spelling of 101121001100120 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one hundred thousand, one hundred twenty".